Work

Understanding Measles Contagion: A Fractional‐Order Model With Stability and Sensitivity Insights

Year: 2026

Type: article

Abstract: In this paper, we propose an epidemiological mathematical model described by a system of nonlinear differential equations of fractional order (FODEs). Specifically, we employ the Caputo fractional derivative (CFD). Our analysis verifies the existence of a solution. Furthermore, we investigate the model’s global stability by analyzing the stability of the equilibrium points. Additionally, we calculate the basic reproduction number ( R 0 ) to assess the potential for measles transmission. In the numerical section, we perform a sensitivity analysis of the reproduction number, examining how changes in model parameters impact disease dynamics. Moreover, we employ a decision tree approach to investigate the impact of variations in ( ε ) and ( R 0 ) on disease outcomes.

Source: Journal of Mathematics

DOI: 10.1155/jom/5704852

Authors: Mahmoud H. DarAssi, Mamoon Ahmed, Yousef AbuHour

Institution: Princess Sumaya University for Technology

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: gold

Estimated APC paid: $2,160